Lawyers are like mechanics. Not all are good and not all are trustworthy. The proof that you filed with the immigration judge is the copy that the judge gave back to you with a time and date stamp on it (or that the clerk gave back if you filed at the window).
You can try to send another application, but it may be denied for lack of a fee. If your problem is time more than money, send in the application with the evidence and the fee because you do not want it denied because they say they already denied the first one which was included in the $1010 price and now you have to refile and pay again. So to not waste time, just pay again anyway.
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